| ( | 60 | + | 50 | ) | x | = | ( | 60 | + | 40 | ) | ( | x | + | 1 | ) |
| Left side of the equation = | 60 | x | + | 50 | x |
| = | 110 | x |
| 110 | x | = | ( | 60 | + | 40 | ) | ( | x | + | 1 | ) |
| Right side of the equation = | 60 | ( | x | + | 1 | ) | + | 40 | ( | x | + | 1 | ) |
| = | 60 | x | + | 60 | × | 1 | + | 40 | ( | x | + | 1 | ) |
| = | 60 | x | + | 60 | + | 40 | ( | x | + | 1 | ) |
| = | 60 | x | + | 60 | + | 40 | x | + | 40 | × | 1 |
| = | 60 | x | + | 60 | + | 40 | x | + | 40 |
| = | 100 | x | + | 100 |
| 110 | x | = | 100 | x | + | 100 |
| 110 | x | − | 100 | x | = | 100 |
| 10 | x | = | 100 |
| x | = | 100 | ÷ | 10 |
| = | 100 | × | 1 10 |
| = | 10 | × | 1 |
| x | = | 10 |